Tricyclic Steiner Triple Systems

Creator(s)

Rebecca C. Calahan, Middle Tennessee State University
Robert B. Gardner, East Tennessee State UniversityFollow
Quan D. Tran, University of Florida

Document Type

Article

Publication Date

3-1-2010

Description

A Steiner triple system of order ν, denoted STS(ν), is said to be tricyclic if it admits an automorphism whose disjoint cyclic decomposition consists of three cycles. In this paper we give necessary and sufficient conditions for the existence of a tricyclic STS(ν) for several cases. We also pose conjectures concerning their existence in two remaining cases.

Citation Information

Calahan, Rebecca C.; Gardner, Robert B.; and Tran, Quan D.. 2010. Tricyclic Steiner Triple Systems. Graphs and Combinatorics. Vol.26(1). 31-42. https://doi.org/10.1007/s00373-010-0896-y ISSN: 0911-0119